If intxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2...

If `intxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+A x+C ,` then

A

(a) `A=1`

B

(b) `f(x)=x^(2)/2`

C

(c) `g(x)=logx`

D

(d) `f(x)=(x^(2)-1)/2`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Recommended Questions

If intxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+A x+C , then
Text Solution
|
If g(x)=(f(x))/((x-a)(x-b)(x-c)),where f(x) is a polynomial of degree ...
Text Solution
|
Ifintxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+A x+C , then (a)f(x)=1/2x^2 ...
Text Solution
|
int(x+1)/(x(1+xe^(x))^(2))dx=log|1-f(x)|+f(x)+c, then f(x)=
Text Solution
|
If int x log(1+(1)/(x))dx=f(x)log(x+1)+g(x)x^(2)+dx+C, then
Text Solution
|
intxlog(1+1/x)dx
Text Solution
|
If intx log (1+(1)/(x))dx =f(x).log(e)(x+1)+g(x)log(e)x^(2)xLx+C...
Text Solution
|
If intxlog(1+x^(2))dx=A(x).log(1+x^(2))+B(x)+c , then
Text Solution
|
The derivative of (log x) ^(x) w.r.t x is (log x)^(x-1) [1+ log x log ...
Text Solution
|